Stable singular solutions of nonlinear operator equations with a parameter
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 39 (1999) no. 5, pp. 707-717 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

@article{ZVMMF_1999_39_5_a0,
     author = {A. F. Izmailov},
     title = {Stable singular solutions of nonlinear operator equations with a parameter},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {707--717},
     year = {1999},
     volume = {39},
     number = {5},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_1999_39_5_a0/}
}
TY  - JOUR
AU  - A. F. Izmailov
TI  - Stable singular solutions of nonlinear operator equations with a parameter
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 1999
SP  - 707
EP  - 717
VL  - 39
IS  - 5
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_1999_39_5_a0/
LA  - ru
ID  - ZVMMF_1999_39_5_a0
ER  - 
%0 Journal Article
%A A. F. Izmailov
%T Stable singular solutions of nonlinear operator equations with a parameter
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 1999
%P 707-717
%V 39
%N 5
%U http://geodesic.mathdoc.fr/item/ZVMMF_1999_39_5_a0/
%G ru
%F ZVMMF_1999_39_5_a0
A. F. Izmailov. Stable singular solutions of nonlinear operator equations with a parameter. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 39 (1999) no. 5, pp. 707-717. http://geodesic.mathdoc.fr/item/ZVMMF_1999_39_5_a0/

[1] Borisovich Yu. G., Bliznyakov N. M., Izrailevich Ya. A., Fomenko T. N., Vvedenie v topologiyu, Nauka, M., 1995 | MR | Zbl

[2] Oben Zh.-P., Ekland I., Prikladnoi nelineinyi analiz, Mir, M., 1988 | MR

[3] Avakov E. R., Agrachev A. A., Arutyunov A. V., “Mnozhestvo urovnya gladkogo otobrazheniya v okrestnosti osoboi tochki i nuli kvadratichnogo otobrazheniya”, Matem. sb., 182:8 (1991), 1091–1104

[4] Izmailov A. F., Tretyakov A. A, Faktoranaliz nelineinykh otobrazhenii, Nauka, M., 1994 | Zbl

[5] Izmailov A. F., “O nekotorykh obobscheniyakh lemmy Morsa”, Tr. Matem. in-ta RAN, 220, M., 1998, 142–156 | MR | Zbl

[6] Alekseev V. M., Tikhomirov V. M., Fomin S. V., Optimalnoe upravlenie, Nauka, M., 1979 | MR

[7] Seydel R., “Numerical computation of branch points in ordinary differential equations”, Numer. Math., 32:1 (1979), 51–68 | DOI | MR

[8] Ortega Dzh., Reinboldt V., Iteratsionnye metody resheniya nelineinykh sistem uravnenii so mnogimi neizvestnymi, Mir, M., 1975 | MR

[9] Voevodin V. V., Kuznetsov Yu. A., Matritsy i vychisleniya, Nauka, M., 1984 | MR | Zbl

[10] Louson Ch., Khenson R., Chislennoe reshenie zadach metoda naimenshikh kvadratov, Nauka, M., 1986 | MR

[11] Izmailov A. F., Tretyakov A. A., “O lokalnoi regulyarizatsii nekotorykh klassov nelineinykh operatornykh uravnenii”, Zh. vychisl. matem. i matem. fiz., 36:7 (1996), 15–29 | MR | Zbl

[12] Izmailov A. F., “Ustoichivye metody dlya otyskaniya osobykh reshenii nelineinykh operatornykh uravnenii”, Vestn. RUDN. Ser. matem. Vyp. 2, 1996, no. 3, 55–85 | MR | Zbl

[13] Izmailov A. F., “Ustoichivye metody dlya otyskaniya 2-regulyarnykh reshenii nelineinykh operatornykh uravnenii”, Zh. vychisl. matem. i matem. fiz., 36:9 (1996), 22–34 | MR | Zbl

[14] Simpson R. B., “A method for numerical determination of bifurcation states of nonlinear systems of equations”, SIAM J. Numer. Analys., 12:3 (1975), 439–451 | DOI | MR | Zbl

[15] Belash K. H., “Reshenie sistem nelineinykh uravnenii obschego vida”, Zh. vychisl. matem. i matem. fiz., 30:6 (1990), 837–843 | MR | Zbl

[16] Backer D. W., Keller H. B., “Path following near bifurcation”, Communs Pure and Appl. Math., 32:2 (1981), 149–175 | MR

[17] Krasnoselskii M. A., Vainikko P. M., Zabreiko P. P. i dr., Priblizhennoe reshenie operatornykh uravnenii, Nauka, M., 1969 | MR

[18] Backer D. W., Keller H. B., Kelley C. T., “Convergence rates for Newton's method at singular points”, SIAM J. Numer. Analys., 20:2 (1983), 296–314 | DOI | MR